The proportion of supermarket customers who do not buy store-brand products is to be estimated.Which of the following scenarios would lead to a sampling distribution of the sample proportion with the lowest variability?
A)Sample 100 customers from the roughly 2000 customers who shop at one store location.
B)Sample 100 customers from the roughly 20,000 customers who shop at the stores citywide.
C)Sample 200 customers from the roughly 2000 customers who shop at one store location.
D)Sample 300 customers from the roughly 20,000 customers who shop at the stores citywide.

Question

Quizplus · Accepted Answer

Sampling a larger number of customers (300) from a larger population (roughly 20,000) leads to a sampling distribution of the sample proportion with the lowest variability because larger sample sizes generally result in lower variability in the sampling distribution.

The Proportion of Supermarket Customers Who Do Not Buy Store-Brand